CASIO ClassPad UNITS 3 4 User Manual

A summary of VCE Further Mathematics Units 3 & 4

FURTHER

Casio® ClassPad

UNITS 3 & 4

Notes

Core and all modules

Summary notes

Graduated questions

Comprehensive solutions

Examination advice

UNCORRECTED SAMPLE PAGES

A+ FURTHER NOTES WITH CASIO CLASSPAD VCE UNITS 3&4

1ST EDITION 9780170190794 SEC 7862

Customer Service: 1300 790 853

www.nelsonsecondary.com.au

Christine McRae

Mark O’Connell

CONTENTS

Introduction

iv

Module 5: Networks and

About the authors

vi

decision mathematics

134

Core: Data analysis

1

Summary notes

134

Summary notes

1

Multiple-choice questions

141

Extended-answer questions

1544

Multiple-choice questions

8

Module 6: Matrices

Extended-answer questions

23

166

Module 1: Number patterns

36

Summary notes

166

Summary notes

36

Multiple-choice questions

171

Extended-answer questions

180

Multiple-choice questions

39

Extended-answer questions

46

Solutions

188

Module 2: Geometry and

Core: Data analysis

189

Module 1: Number patterns

202

trigonometry

55

Module 2: Geome

and trigonometryPAGES212

try

Summary notes

55

SAMPLE

lations

225

Summary notes

111

Multiple-choice questions

61

Module 3: Graphs and re

Extended-answer questions

71

Module 4: Bu

siness-relat

ed mathematics 234

Module 5:

Networks and decision

Module 3: Graphs

mathem

atics

247

and relations

84

Modulee 6: Ma

trices

259

Summary notes

84

xa

mination

advice

272

Multiple-choice questions

89

Extended-answer questions

100

Module 4: Business-related

mathematics

111

UNCORRECTED

Multiple-choice questions

117

Extended-answer questions

125

9780170190794

Contents iii

CORE:

Data analysis

P PLE

UNCORRECTEDUnivariate data

Types of data

Categorical: A category is recorded when the data is collected. Examples of categorical variables include gender, nationalityand occupation.

Numerical: When data is collected a number is recorded. There are two types:

(i) Discrete:The numbers recorded are distinct values, often whole numbers and usually the data comes from counting. Examples include number of students in a class or number of pages in a book.

(ii) Continuous: Any number on a continuous number line is recorded; usually the data is produced by measuring to any desired level of accuracy. Examples include volume of water consumed and height of a growing tree.

Organising data

Frequency tables: May be used with both categorical and numerical data. Class intervals

are used to group continuous numerical data or to group discrete data when there is a large range of values.

Stem-and-leaf plots (or stemplots): Display the distribution of numerical data (both discrete and continuous) as well as the actual data values.

Statistics including median, interquartile range and range can be determined from an ordered stemplot.

Graphs

Bar chart: Categorical data.

										Eye colour
	hazel
	green
Colour	blue
	brown
	violet
	black
	0						1	2	3	4	5		6	7	8
										Frequency

9780170190794

Core: Data analysis 1

For ‘bell-shaped’ (normal) distributions:

Tap Calc, One-Variable. Complete the screen as

r 68% of the data will have values within one

shown. Tap OK.

standard deviation of the mean

r 95% of the data will have values within two

standard deviations of the mean

r 99.7% of the data will have values within three

standard deviations of the mean.

z scores are used to compare values from different

distributions. A raw score, x, from a data set will

PAGES

x −

–

have a z-score of

x

where x is the mean of the

s

data set and s is the standard deviation.

The closer the z-score is to zero, the closer the

raw score is to the mean.

Boxplot

Stat Calculation:

(or box-and-whisker plot)

A boxplot illustrates the five-number summary

[minimum, lower quartile (Q1), median (Q2),

upper quartile (Q3), maximum] of a univariate

numerical data set and is often used as a visual

comparison of similar data sets. The statistics of

Tap

SetGraph and Setting. Complete the

OK,

median, IQR and range can readily be observed

screen

as shown. Tap Set.

from a boxplot.

Outliers are identified using the boundaries

Q1 − (1.5 × IQR) and Q3 + (1.5 × IQR). Any data

values outside these boundaries are mar

ked withSAMPLE

an asterisk on the boxplot.

Minimum Lower

Upper

Maximum

value quartile

Median

quartile

value

Outlier

TED

Tap on the graph icon y

to display the boxplot.

2

4

8

10

12

14

6

delivered

Tap Analysis in the

Letters

Calculator:

menu bar, select Trace

then use the cursor key

Findi

ng summa

ry statistics and drawing a

to view the values of the

boxplot.

five-number summary

Choose

Statistics

from the Menu. Key the

displayed on the graph.

data into list 1.

UNCORREC

Bivariate data

r Identify dependent and independent variables: Answer the question: ‘Which of the two variables is likely to depend on the other?’

9780170190794

Core: Data analysis 3